Loops in dS/CFT

TL;DR

This paper studies quantum corrections in the dS/CFT correspondence by computing loop effects on the wavefunction of a scalar field in de Sitter space, revealing anomalous dimensions of boundary operators.

Contribution

It provides the first semi-classical loop calculations of the wavefunction in dS/CFT, connecting bulk quantum effects to boundary conformal data.

Findings

Calculated anomalous dimensions of double trace operators at one loop

Derived analytic expressions for subleading twist operators

Developed an algorithm for general twist operator calculations

Abstract

We consider the semi-classical expansion of the Bunch-Davies wavefunction with future boundary condition in position space for a real scalar field, conformally coupled to a classical de Sitter background in the expanding Poincar\'e patch with quartic selfinteraction. In the future boundary limit the wave function takes the form of the generating functional of a Euclidean conformal field theory for which we calculate the anomalous dimensions of the double trace deformations at one loop order using results obtained from Euclidean Anti de Sitter space. We find analytic expressions for some subleading twist operators and an algorithm to obtain expressions for general twist.